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Tanzania [10]
3 years ago
7

The time it takes to drive to Joliet is 6 hours more than half the time it takes to drive to Davenport. It takes 8 hours to driv

e to Joliet. How many hours does it take to drive to Davenport?
Mathematics
2 answers:
9966 [12]3 years ago
7 0

Answer:

The answer is 4 hours.

Step-by-step explanation:

Molodets [167]3 years ago
6 0
It takes 8 hours to drive to Joliet, and that's 6 hours more than half the time it takes to drive to Davenport. So, I did 8-6 which equals 2. So 2 hours is half the time it takes to get to Davenport, which means it takes 4 hours to get to Davenport. 
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2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA
professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

A=45e^{-0.0045(t)}

a) To find the initial amount of this substance

At t=0, we get

A=45e^{-0.0045(0)}A=45e^0

We know that e^0=1 ( anything to the power zero is 1)

we get,

A=45

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

\frac{45}{2}=45e^{-0.0045(t)}

\frac{1}{2}=e^{-0.0045(t)}

Taking natural logarithm on both sides we get,

\ln (\frac{1}{2})=-0.0045(t)^{}(-1)\ln (\frac{1}{2})=0.0045(t)\ln (\frac{1}{2})^{-1}=0.0045(t)\ln (2)=0.0045(t)0.6931=0.0045(t)t=\frac{0.6931}{0.0045}t=154.02

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

A=45e^{-0.0045(2500)}A=45e^{-11.25}A=45\times0.000013=0.000585A=0.000585

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0
10 months ago
If (3). write the following vectors in column vector form:
Art [367]

Answer:

see explanation

Step-by-step explanation:

Given

a = \left[\begin{array}{ccc}3\\2\\\end{array}\right]

To obtain -3a multiply each of the elements of a by -3

3a = \left[\begin{array}{ccc}-3(3)\\-3(2)\\\end{array}\right] = \left[\begin{array}{ccc}-9\\-6\\\end{array}\right]

To obtain 1.5a multiply each element by 1.5

1.5a = \left[\begin{array}{ccc}1.5(3)\\1.5(2)\\\end{array}\right] = \left[\begin{array}{ccc}4.5\\3\\\end{array}\right]

8 0
3 years ago
Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are asfollows:S
Thepotemich [5.8K]

Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

                                                 Strength Strength

                                                    High             Low

High conductivity                         74                8

Low conductivity                         15                3

To find :

a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

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The probability is given by,

P=\frac{74}{100}=0.74

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Probability is given by,

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}

P(A\cup B)=0.18+0.11-0.03

P(A\cup B)=0.26

c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?

Since the events the stand has low conductivity and the stand has low strength  are not mutually exclusive, since there exists some cases in which both the  events coincide. i.e. Intersection of both the events exists with probability 0.03.

8 0
3 years ago
Which expression is equivalent to<br> ва ?<br> o areks<br> 22<br> зев<br> обек<br> 22<br> 34
anyanavicka [17]

Answer:

22

Step-by-step explanation:

it is epuivalet

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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